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A characterization of L2(81) by nse | ||
| International Journal of Group Theory | ||
| مقاله 11، دوره 5، شماره 1، خرداد 2016، صفحه 29-35 اصل مقاله (201.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2016.5843 | ||
| نویسندگان | ||
| Leila Mousavi* 1؛ Bijan Taeri2 | ||
| 1Department of Mathematical Sciences; Isfahan University of Technology; Isfahan 84156-83111; Iran. | ||
| 2Department of Mathematical Sciences;, Isfahan University of Technology | ||
| چکیده | ||
| Let $\pi_e(G)$ be the set of element orders of a finite group $G$. Let $nse(G)=\{m_n\mid n\in\pi_e(G)\}$, where $m_n$ be the number of elements of order $n$ in $G$. In this paper, we prove that if $nse(G)=nse(L_2(81))$, then $G\cong L_2(81)$. | ||
| کلیدواژهها | ||
| set of the numbers of elements of the same order؛ order of an element؛ Thompson's problem | ||
| مراجع | ||
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